Cauchy matrix structure and solutions of the spin-1 Gross-Pitaevskii equations

被引：3
|
作者：
Li, Shangshuai [1 ,2 ]
Zhang, Da-jun [1 ,2 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
[2] Shanghai Univ, Newtouch Ctr Math, Shanghai 200444, Peoples R China
来源：
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2024年 / 129卷
基金：
中国国家自然科学基金;
关键词：
Bose-Einstein condensate; Gross-Pitaevskii equation; Nonlinear Schrodinger equation; Cauchy matrix approach; Nonlocal integrable system; BOSE-EINSTEIN CONDENSATION; INTEGRABLE EQUATIONS; SYLVESTER EQUATION; VORTEX; GAS;
D O I：
10.1016/j.cnsns.2023.107705
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the Cauchy matrix structure of the spin-1 Gross-Pitaevskii (GP) equations. By utilizing the Cauchy matrix approach, we derive a 2 x 2 matrix nonlinear Schrodinger (NLS) equation, which serves as an unreduced model for the spin-1 BEC system and allows solutions with explicit formulae. Then we provide suitable constraints which lead to reductions for obtaining the classical and nonlocal spin-1 GP equations and their solutions. Some obtained solutions, including one-soliton solution, two-soliton solution and double-pole solution, are analyzed and illustrated.
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页数：14
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